Examine the data in the table below showing the number of professors and students for each of the past 5 years. If the university uses trend analysis, what would be the expected number of professors in year 6?

Year	Professors	Students
1	410	41,200
2	422	42,468
3	409	43,895
4	415	45,002
5	429	46,072
6	?	47,949 (estimated)

show your work and explain how you got the answer